Erin, who is 1.60 m tall, casts a shadow that is 1.25 m long. Her shadow extends to the end of a tree’s shadow when she stands 4.75 m from the tree. What is the height of the tree?

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1 Answer
CW
Oct 18, 2017

height of tree #=7.68# m

Explanation:

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#DeltaABC and DeltaADE# are similar.
In similar triangles, corresponding sides are always in the same ratio.
#=> (DE)/(DA)=(CB)/(BA)#,
#=> Y/(4.75+1.25)=1.60/1.25#

#=> Y=((4.75+1.25)xx1.60)/1.25=7.68# m

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